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Finding the Fourth Proportional to 986.87, 1,480.46 and 328.53

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Solution

The fourth proportional to 986.87, 1,480.46 and 328.53 is: 492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.87 : 1,480.46 = 328.53 : x
  2. Step 2: Convert to fraction form
    986.87/1,480.46 = 328.53/x
  3. Step 3: Cross multiply
    986.87x = 1,480.46 × 328.53
  4. Step 4: Simplify right side
    986.87x = 486,379.43
  5. Step 5: Solve for x
    x = 486,379.43/986.87
  6. Step 6: Final answer
    x = 492.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.